Adaptively Secure Partially Non-Interactive Threshold Schnorr Signatures in the AGM

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Very recently, Crites et al. (CRYPTO 2025) gave a proof for the full adaptive security of FROST (Komlo and Goldberg, SAC 2020), the state-of-the-art two-round threshold Schnorr signature scheme, which is currently used in real-world applications and is covered by an RFC standard. Their security proof, however, relies on the computational hardness of a new search problem they call “low-dimensional vector representation” (LDVR). In fact, the authors show that hardness of LDVR is necessary for adap